- #1

jasonchiang97

- 72

- 2

## Homework Statement

A muon has a mass of 106MeV/c

^{2}. Calculate the speed, momentum and total energy of a 200MeV muon(a muon with a kinetic energy of 200MeV).

## Homework Equations

E=γmc

K+mc

^{2}=E

γ=1/(1-β)

^{1/2}

β=(v/c)

^{2}

## The Attempt at a Solution

To solve for the speed I plugged E=γmc into K+mc

^{2}=E to obtain K/mc

^{2}+ 1 = γ. Expanding gamma and rearranging I get 1-(K/mc

^{2}+1)

^{-1}= β. But plugging in the numbers on the left hand side gives me a zero as K<<c

^{2}and I think that I went wrong somewhere.